Consider the steps for solving 3x2 – 42x + 9 = -5 for x by completing the square.
Step 1: 3x2 - - 42x = -14
Step 2: 3(x2 – 14x) = -14
Step 3: 3(x2 - 14x +49) = -14 +
What number should be added to the right side of the equation?

A.96
B.147
C.225
D.441

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form. −three fourthsx + y = 10 3x − 4y = −40 y = three fourthsx + 12 y = three fourthsx + 10

Jane has 5 nickels.john has 3 dimes.jane says she has a greater amount of money.with the information given,is she correct?

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?